a-5b=89;b+1=3a

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for example:
2x+y=8
x+3y=14

Solution for a-5b=89;b+1=3a system of equations: 


  • /| a-(5*b)-89 = 0| b-(3*a)+1 = 0
  • We try to solve the equation: a-(5*b)-89 = 0
  • a-5*b-89 = 0 // - a-89
  • -5*b = -(a-89) // : -5
  • b = (-(a-89))/(-5)
  • b = (89-a)/(-5)
  • We insert the solution into one of the initial equations of our system of equations
  • We get a system of equations:
  • /| (89-a)/(-5)-(3*a)+1 = 0| b = (89-a)/(-5)
  • (89-a)/(-5)-3*a+1 = 0
  • 1-14/5*a-89/5 = 0
  • -14/5*a-84/5 = 0
  • -14/5*a-84/5 = 0 // + 84/5
  • -14/5*a = 84/5 // : -14/5
  • a = 84/5/(-14/5)
  • a = -6
  • We insert the solution into one of the initial equations of our system of equations
  • For b = (89-a)/(-5): 
  • b = (6+89)/(-5)
  • b = 95/(-5)
  • b = -19
  • We get a system of equations:
  • /| b = -19| a = -6

 

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